A Low-Storage Discontinuous Galerkin Time-Domain Method

In this letter, a discontinuous Galerkin time-domain (DGTD) method with a low memory scheme for the solution of Maxwell's equations has been proposed. By expressing curl vector basis functions in terms of barycentric coordinates, the matrices in the DGTD method including mass and flux matrices can be rewritten into the summation of a few universal matrices. With the use of the proposed scheme, the computer memory storage requirement of the DGTD method is greatly reduced with the increases of the order of spatial basis functions and the number of meshing elements, albeit a slightly increase of computational time. Numerical results including the slotted waveguide and Vivaldi antenna array are given to illustrate good computational performance.

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